Standard

BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two. / Ivanov, A.; Ivanov, S.O.; Volkov, Y.; Zhou, G.

In: Journal of Algebra, Vol. 435, 2015, p. 174-203.

Research output: Contribution to journal › Article

Harvard

Ivanov, A, Ivanov, SO, Volkov, Y & Zhou, G 2015, 'BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two', Journal of Algebra, vol. 435, pp. 174-203. https://doi.org/10.1016/j.jalgebra.2015.04.004

APA

Ivanov, A., Ivanov, S. O., Volkov, Y., & Zhou, G. (2015). BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two. Journal of Algebra, 435, 174-203. https://doi.org/10.1016/j.jalgebra.2015.04.004

Vancouver

Ivanov A, Ivanov SO, Volkov Y, Zhou G. BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two. Journal of Algebra. 2015;435:174-203. https://doi.org/10.1016/j.jalgebra.2015.04.004

Author

Ivanov, A. ; Ivanov, S.O. ; Volkov, Y. ; Zhou, G. / BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two. In: Journal of Algebra. 2015 ; Vol. 435. pp. 174-203.

BibTeX

@article{e552e5ada4a44205bbc000669f7cbcae,
title = "BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two",
abstract = "Let k be an algebraically closed field of characteristic two and let Q_8 be the quaternion group of order 8. We determine the Gerstenhaber Lie algebra structure and the Batalin–Vilkovisky structure on the Hochschild cohomology ring of the group algebra kQ_8.",
keywords = "Batalin–Vilkovisky structure, Comparison morphism, Gerstenhaber Lie bracket, Hochschild cohomology, Quaternion group, Weak self-homotopy",
author = "A. Ivanov and S.O. Ivanov and Y. Volkov and G. Zhou",
year = "2015",
doi = "10.1016/j.jalgebra.2015.04.004",
language = "English",
volume = "435",
pages = "174--203",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two

AU - Ivanov, A.

AU - Ivanov, S.O.

AU - Volkov, Y.

AU - Zhou, G.

PY - 2015

Y1 - 2015

N2 - Let k be an algebraically closed field of characteristic two and let Q_8 be the quaternion group of order 8. We determine the Gerstenhaber Lie algebra structure and the Batalin–Vilkovisky structure on the Hochschild cohomology ring of the group algebra kQ_8.

AB - Let k be an algebraically closed field of characteristic two and let Q_8 be the quaternion group of order 8. We determine the Gerstenhaber Lie algebra structure and the Batalin–Vilkovisky structure on the Hochschild cohomology ring of the group algebra kQ_8.

KW - Batalin–Vilkovisky structure

KW - Comparison morphism

KW - Gerstenhaber Lie bracket

KW - Hochschild cohomology

KW - Quaternion group

KW - Weak self-homotopy

U2 - 10.1016/j.jalgebra.2015.04.004

DO - 10.1016/j.jalgebra.2015.04.004

M3 - Article

VL - 435

SP - 174

EP - 203

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

ID: 3969618